Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Critical-time boundary displacement control at two ends of an inhomogeneous rod in the case of coincidence of the wave propagation times through each of two homogeneous parts

Critical-time boundary displacement control at two ends of an inhomogeneous rod in the case of... We study a boundary displacement control at two ends of an inhomogeneous rod that has two parts of distinct densities and elasticities in the case of coinciding wave propagation times over these parts. The control acts on a time interval of critical length. We obtain a closed analytical form of the boundary displacement control bringing the rod in critical time from the initial state of rest into a given terminal state specified by given terminal displacement and terminal velocity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Critical-time boundary displacement control at two ends of an inhomogeneous rod in the case of coincidence of the wave propagation times through each of two homogeneous parts

Differential Equations , Volume 49 (11) – Dec 17, 2013

Loading next page...
 
/lp/springer-journals/critical-time-boundary-displacement-control-at-two-ends-of-an-zI3OgFE0ta

References (6)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266113110025
Publisher site
See Article on Publisher Site

Abstract

We study a boundary displacement control at two ends of an inhomogeneous rod that has two parts of distinct densities and elasticities in the case of coinciding wave propagation times over these parts. The control acts on a time interval of critical length. We obtain a closed analytical form of the boundary displacement control bringing the rod in critical time from the initial state of rest into a given terminal state specified by given terminal displacement and terminal velocity.

Journal

Differential EquationsSpringer Journals

Published: Dec 17, 2013

There are no references for this article.